252321 has 8 divisors (see below), whose sum is σ = 339264. Its totient is φ = 166800.

The previous prime is 252319. The next prime is 252323. The reversal of 252321 is 123252.

It is an interprime number because it is at equal distance from previous prime (252319) and next prime (252323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252321 - 2¹ = 252319 is a prime.

It is an alternating number because its digits alternate between even and odd.

252321 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 252321.

It is not an unprimeable number, because it can be changed into a prime (252323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2²⁵²³²¹ is an apocalyptic number.

It is an amenable number.

252321 is a deficient number, since it is larger than the sum of its proper divisors (86943).

252321 is a wasteful number, since it uses less digits than its factorization.

252321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its digits is 120, while the sum is 15.

The square root of 252321 is about 502.3156378215. The cubic root of 252321 is about 63.1904040604.

Adding to 252321 its reverse (123252), we get a palindrome (375573).

It can be divided in two parts, 25 and 2321, that added together give a triangular number (2346 = T₆₈).

The spelling of 252321 in words is "two hundred fifty-two thousand, three hundred twenty-one".